We're dividing 976420 by 13 
We're looking to find how many times 13 goes into 976420.

Step 1:
The number 13 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Let's proceed to step 2:
If we divide 97 by 13, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 91 from 97 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 13

Let's proceed to step 3:
66 divided by 13 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Deduct 65 from 66 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Moving on to step 4:
When dividing 14 by 13, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 751.0
If we take 13 away from 14, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Moving on to step 5:
When dividing 12 by 13, we get 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 7510.0
If we subtract 0 from 12, we get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

Step 6:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 75109.0
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 75109.2
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 75109.23
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 75109.23
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 75109.2307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 75109.23076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 75109.230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 75109.2307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 75109.23076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 75109.23076923 with a remaining 1e-09.